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Finding the Fourth Proportional to 135.80, 187.49 and 91.58

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Solution

The fourth proportional to 135.80, 187.49 and 91.58 is: 126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.80 : 187.49 = 91.58 : x
  2. Step 2: Convert to fraction form
    135.80/187.49 = 91.58/x
  3. Step 3: Cross multiply
    135.80x = 187.49 × 91.58
  4. Step 4: Simplify right side
    135.80x = 17,168.94
  5. Step 5: Solve for x
    x = 17,168.94/135.80
  6. Step 6: Final answer
    x = 126.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.